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Results tagged with integrable-systems
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user 13268
7
votes
How to use these higher symmetries and conservation laws?
One way you can use conservation laws of a PDE is in numerics; you check at each moment in time the value of the conserved quantity coming from the conservation law, to see if it is still being conser …
- 26.3k
5
votes
Kernel of a non-integrable connection
Parallel sections are invariant under parallel transport along all holomorphic disks, so if holomorphic somewhere, they are holomorphic everywhere. The kernel of the connection is a linear subspace of …
- 26.3k
3
votes
Accepted
Lagrangian foliation
Yes since functions which Poisson commute are constant on one another's Hamiltonian flows.
- 26.3k
3
votes
Equivalence problem of classifying heat equations
Jeanne Clelland studied parabolic partial differential equations in her PhD thesis, using techniques of Cartan, including equivalence method. See her web page https://www.colorado.edu/math/jeanne-clel …
- 26.3k